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1. How are t and r changed when a barrier is translated through d, as in the previous exercise, and has this any observable consequences?
2. As we build the T-matrices for complicated barriers out of those for simple components, it is important that the product of two T -matrices is itself a T-matrix and has the properties that we have just derived. Show that this is so. (This is one of the properties of a mathematical group, and T-matrices provide a representation of the group SU(1, 1).)
In a heart pacemaker, a pulse is delivered to the heart 81 times per minute. The capacitor that controls this pulsing rate discharges through a resistance of 1.8 x 106. One pulse is delivered every time the fully charged capacitor loses 60.5% of its ..
Consider the following reaction: where has a mass of 14.003 074 u; has a mass of 12.000 000 u; d has a mass of 2.014 102 u; How much energy is released in this reaction
the superconducting magnet for the experimental mri studies at a laboratory is a 1m long solenoid of 60 cm diameter
A 2-Kg block sits on a 4 Kg block that is on a frictionless table. The coefficient of friction between the blocks are μs = 0.3 and μk = 0.2. According to the observer (with its reference attached to the floor): if a strong-enough force F is applied..
After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 47.0cm . The explorer finds that the pendulum completes 110 full swing cycles in a time of 145s A. What is the magnitude of the gravitational acceleration ..
After being accelerated to a speed of 1.26×105 m/s, the particle enters a uniform magnetic field of strength 2.00 T and travels in a circle of radius 35.0 cm (determined by observing where it hits the screen). The results of this experiment allow one..
Find the maximum temperature in a Carnot cycle operating in a room-temperature (23 degrees C) environment if its Carnot efficiency is 0.2. Express your answer using one significant figure. TH = ? K
A transverse wave on a string can transmit a maximum power of P. If the string is folded and doubled, Determine the maximum power of the doubled string
A platinum sphere with radius 0.0181 m is totally immersed in mercury. Find the weight of the sphere, the buoyant force acting on the sphere, and the sphere's apparent weight. The densities of platinum and mercury are 2.14 × 104 kg/m3 and 1.36 × 1..
At an absolute pressure of 101.3 kPa and ten mperature of 20 degC the dynamic viscosity of a certain diatomic gas is 2*10^-5 Pa.sec, calculate its approximate relative molecular mass
An automobile mirror shows an image of truck located 10m from mirror. The focal length of the mirrors is - 0.60m. Find the magnification and the position of the image of the truck
A brick is initially 8.20 cm high and an aluminum can is originally 8.21 cm high. By how much must their temperatures be raised in order for the brick and the can to have exactly the similar height?
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